Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.0s (19%)

Memory

44.3MiB live, 856.8MiB allocated

Samples

766.0ms	8 256×	0	valid
2.0ms	24×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 532.0ms

ival-div: 145.0ms (27.3% of total)

ival-log: 100.0ms (18.8% of total)

ival-mult: 94.0ms (17.7% of total)

ival-add: 72.0ms (13.5% of total)

ival-sqrt: 58.0ms (10.9% of total)

ival-sub: 48.0ms (9% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain130.0ms (2.3%)

Memory

-36.8MiB live, 220.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
-	-	`#s(literal 1 binary64)`
-	-	`(/.f64 #s(literal 1 binary64) x)`
-	-	`(*.f64 x x)`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
-	-	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
-	-	`(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)`
-	-	`x`
-	-	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

41.0ms

512×

valid

Compiler

Compiled 173 to 40 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 7.0ms (25.6% of total)

ival-log: 6.0ms (22% of total)

ival-mult: 4.0ms (14.7% of total)

ival-sqrt: 4.0ms (14.7% of total)

ival-sub: 3.0ms (11% of total)

ival-add: 2.0ms (7.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess462.0ms (8.4%)

Memory

11.7MiB live, 278.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	34	27
2	71	27
3	153	27
4	261	27
5	411	27
6	644	23
7	1041	23
8	1462	23
9	2002	23
10	4351	23
11	5779	23
12	6813	23
13	7219	23
14	7587	23
15	7743	23
0	9	13
0	16	13
1	24	13
2	31	13
3	39	13
4	54	13
5	74	13
6	117	13
7	311	13
8	585	13
9	1157	13
10	2103	13
11	3883	13
12	4905	13
13	5277	13
14	5610	11
15	5914	11
16	5995	11
17	6230	11
18	7166	11
0	8296	11

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Outputs

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify291.0ms (5.3%)

Memory

15.3MiB live, 237.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
cost-diff	704	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	9	52
0	16	52
1	24	52
2	31	52
3	39	52
4	54	52
5	74	52
6	117	52
7	311	52
8	585	52
9	1157	52
10	2103	52
11	3883	52
12	4905	52
13	5277	52
14	5610	48
15	5914	48
16	5995	48
17	6230	48
18	7166	48
0	8296	48

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

localize123.0ms (2.2%)

Memory

-43.2MiB live, 81.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
accuracy	0.0078125	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Samples

116.0ms

256×

valid

Compiler

Compiled 106 to 20 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-assert: 74.0ms (67.6% of total)

ival-div: 26.0ms (23.8% of total)

ival-log: 3.0ms (2.7% of total)

ival-mult: 2.0ms (1.8% of total)

ival-sqrt: 2.0ms (1.8% of total)

ival-add: 1.0ms (0.9% of total)

ival-sub: 1.0ms (0.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

6 → 47

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x x)

Outputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(pow x 2)
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (* x x))
2.0ms	x	@	-inf	((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (* x x))
2.0ms	x	@	0	((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (* x x))

Time

Variable

Point

Expression

2.0ms

inf

((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (* x x))

2.0ms

-inf

((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (* x x))

2.0ms

((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (* x x))

simplify144.0ms (2.6%)

Memory

20.4MiB live, 140.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	729
1	409	704
2	1119	684
3	3237	671
0	8046	642

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

Inputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(pow x 2)
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))

Outputs
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (.f64 #s(literal -1/4 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -5/96 binary64) (.f64 x x) #s(literal -3/32 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64)))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* x (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* -1 (* x (sqrt -1)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))) x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))

rewrite158.0ms (2.9%)

Memory

-21.7MiB live, 135.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	16	45
1	69	45
2	624	41
3	7607	41
0	8365	41

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 334

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x x)

Outputs
(*.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) x) (neg.f64 x)) #s(literal -1 binary64))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) (.f64 x x))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (fma.f64 (+.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) x (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x))) (.f64 (neg.f64 x) x))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)) (/.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x)) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (neg.f64 x))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x)
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x)) (-.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x)))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))))))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval54.0ms (1%)

Memory: -0.8MiB live, 73.6MiB allocated
Compiler: Compiled 9 682 to 1 411 computations (85.4% saved)

prune7.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	376	5	381
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	377	5	382

Accuracy

100.0%

Counts

382 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
▶	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
▶	99.3%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
▶	99.4%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))

Compiler

Compiled 180 to 128 computations (28.9% saved)

simplify169.0ms (3%)

Memory

-16.8MiB live, 66.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
cost-diff	0	(*.f64 #s(literal -1/4 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
cost-diff	0	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
cost-diff	320	(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(sqrt.f64 #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
cost-diff	0	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	228
0	58	228
1	81	228
2	99	228
3	141	228
4	197	228
5	328	228
6	543	228
7	971	228
8	1471	228
9	2159	228
10	3781	211
11	5972	211
0	8100	208

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
x
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)

Outputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
x
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)

localize116.0ms (2.1%)

Memory

-0.3MiB live, 111.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 #s(literal -1/4 binary64) x)
accuracy	0.0	(log.f64 x)
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.0	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
accuracy	0.0	(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
accuracy	0.0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
accuracy	0.0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
accuracy	0.0	(sqrt.f64 #s(literal -1 binary64))
accuracy	0.0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
accuracy	0.0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
accuracy	0.0	(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))

Samples

73.0ms

256×

invalid

Compiler

Compiled 423 to 70 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-add: 18.0ms (31% of total)

ival-mult: 11.0ms (19% of total)

ival-log: 11.0ms (19% of total)

ival-div: 8.0ms (13.8% of total)

ival-sqrt: 5.0ms (8.6% of total)

ival-sub: 2.0ms (3.4% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series123.0ms (2.2%)

Memory

14.1MiB live, 135.8MiB allocated

Counts

22 → 64

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(*.f64 #s(literal -1/4 binary64) x)
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(neg.f64 x)
(*.f64 x x)
(log.f64 #s(literal 2 binary64))
(log.f64 x)

Outputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(- (log 2) (log x))
(- (+ (log 2) (* -1/4 (pow x 2))) (log x))
(* -1/4 x)
(* -1 x)
(pow x 2)
(log x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))
(- (log 2) (* -1 (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (* x (sqrt -1)))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
84.0ms	x	@	0	((log (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x) (+ (sqrt (+ (* (neg x) x) 1)) 1) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (- (log 2) (log x))) (* -1/4 x) (- (log 2) (log x)) (neg x) (* x x) (log 2) (log x))
22.0ms	x	@	-inf	((log (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x) (+ (sqrt (+ (* (neg x) x) 1)) 1) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (- (log 2) (log x))) (* -1/4 x) (- (log 2) (log x)) (neg x) (* x x) (log 2) (log x))
15.0ms	x	@	inf	((log (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x) (+ (sqrt (+ (* (neg x) x) 1)) 1) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (- (log 2) (log x))) (* -1/4 x) (- (log 2) (log x)) (neg x) (* x x) (log 2) (log x))

Time

Variable

Point

Expression

84.0ms

((log (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x) (+ (sqrt (+ (* (neg x) x) 1)) 1) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (- (log 2) (log x))) (* -1/4 x) (- (log 2) (log x)) (neg x) (* x x) (log 2) (log x))

22.0ms

-inf

((log (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x) (+ (sqrt (+ (* (neg x) x) 1)) 1) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (- (log 2) (log x))) (* -1/4 x) (- (log 2) (log x)) (neg x) (* x x) (log 2) (log x))

15.0ms

inf

((log (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x) (+ (sqrt (+ (* (neg x) x) 1)) 1) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (- (log 2) (log x))) (* -1/4 x) (- (log 2) (log x)) (neg x) (* x x) (log 2) (log x))

simplify223.0ms (4%)

Memory

15.1MiB live, 198.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	827
1	565	797
2	1590	762
3	4722	751
0	8255	715

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(- (log 2) (log x))
(- (+ (log 2) (* -1/4 (pow x 2))) (log x))
(* -1/4 x)
(* -1 x)
(pow x 2)
(log x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))
(- (log 2) (* -1 (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (* x (sqrt -1)))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))

Outputs
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- (log 2) (log x))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1/4 (pow x 2))) (log x))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(* -1/4 x)
(*.f64 #s(literal -1/4 binary64) x)
(* -1 x)
(neg.f64 x)
(pow x 2)
(*.f64 x x)
(log x)
(log.f64 x)
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* x (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(* x (+ (sqrt -1) (/ 1 x)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x) (+.f64 (/.f64 (/.f64 (log.f64 x) x) x) #s(literal 1/4 binary64))) x) x)
(- (log 2) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(* -1 (log (/ 1 x)))
(log.f64 x)
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) x)
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) x) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(neg.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))
(.f64 (-.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x) (+.f64 (+.f64 (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) x) (/.f64 (log.f64 (neg.f64 x)) (.f64 x x))) #s(literal 1/4 binary64))) (*.f64 x x))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))

rewrite236.0ms (4.3%)

Memory

-2.8MiB live, 244.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	212
0	58	209
1	207	195
2	1585	195
0	8917	182

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 521

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(*.f64 #s(literal -1/4 binary64) x)
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(neg.f64 x)
(*.f64 x x)
(log.f64 #s(literal 2 binary64))
(log.f64 x)

Outputs
(*.f64 #s(literal -1 binary64) (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (log.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x)))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))))
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(neg.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))))))
(-.f64 (log.f64 (/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) (log.f64 x))
(-.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) x)) (log.f64 x))
(-.f64 (log.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 x x))) (pow.f64 x #s(literal -1 binary64)))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (log.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 x x))) (.f64 x x))) (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)))) (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))) (log.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) (log.f64 (*.f64 (neg.f64 x) x)))
(-.f64 (log.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 x x))) #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 x))))
(-.f64 (log.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 x x))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1 binary64)))) (.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x (.f64 (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (.f64 (neg.f64 x) x)))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x) (neg.f64 x))) (log.f64 (*.f64 (neg.f64 x) x)))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) (log.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))))
(-.f64 (log.f64 (+.f64 x (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (log.f64 (+.f64 (neg.f64 x) (.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (.f64 (neg.f64 x) x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (.f64 (neg.f64 x) x)))
(-.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x x)) (log.f64 (*.f64 x (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(-.f64 (log.f64 (expm1.f64 (log1p.f64 (.f64 x x)))) (log.f64 (.f64 x (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log.f64 (*.f64 x (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(-.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) x))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))
(+.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))) (log.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal -1 binary64))))
(+.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(+.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) (log.f64 (pow.f64 x #s(literal -2 binary64))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x)))
(+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (log.f64 x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 #s(literal -1/4 binary64) x) x)))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(fma.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (log.f64 (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (log.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(fma.f64 x (*.f64 #s(literal -1/4 binary64) x) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(literal -1/4 binary64) x) x))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 #s(literal -1/4 binary64) x) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) (log.f64 x))))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 (.f64 x #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) (log.f64 x))
(-.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (.f64 (.f64 #s(literal -1/4 binary64) x) x)))
(+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) (neg.f64 (log.f64 x)))
(+.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) x) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(literal -1/4 binary64) x) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal -1 binary64) (.f64 (.f64 #s(literal -1/4 binary64) x) x)))
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 x #s(literal -1/4 binary64))
(.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (log.f64 (.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
(neg.f64 (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)

eval221.0ms (4%)

Memory: -24.8MiB live, 99.1MiB allocated
Compiler: Compiled 14 629 to 2 316 computations (84.2% saved)

prune9.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	581	2	583
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	583	5	588

Accuracy

100.0%

Counts

588 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
✓	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
✓	99.3%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	99.7%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
▶	2.7%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))

Compiler

Compiled 105 to 74 computations (29.5% saved)

simplify303.0ms (5.5%)

Memory

7.4MiB live, 166.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 #s(literal -1/4 binary64) x)
cost-diff	0	(fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
cost-diff	0	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -1/4 binary64))
cost-diff	0	#s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
cost-diff	0	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	110
0	36	110
1	60	110
2	81	110
3	132	110
4	207	110
5	367	110
6	554	110
7	974	110
8	1382	110
9	1994	110
10	3222	110
11	4241	110
12	4956	106
13	5329	106
14	5636	106
15	5786	106
16	5862	106
17	6095	106
18	6728	106
19	7591	106
20	7934	106
0	8028	104

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
#s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(*.f64 x x)
x
#s(literal -1/4 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
x
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 #s(literal -1/4 binary64) x) x)))
#s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
#s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 #s(literal -1/4 binary64) x) x))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal -1/4 binary64) x) x)
(*.f64 x x)
x
#s(literal -1/4 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) x) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) x) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
x
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)

localize84.0ms (1.5%)

Memory

-0.2MiB live, 37.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal -1/4 binary64) x)
accuracy	0.0	(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy	0.0	(log.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.19188654746211387	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
accuracy	0.0	(.f64 (.f64 x x) #s(literal -1/4 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.19188654746211387	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
accuracy	62.26816281636125	#s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64)))

Samples

72.0ms

256×

valid

Compiler

Compiled 188 to 54 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 39.0ms (62.3% of total)

ival-log: 11.0ms (17.6% of total)

ival-div: 4.0ms (6.4% of total)

ival-add: 3.0ms (4.8% of total)

ival-sub: 2.0ms (3.2% of total)

ival-sqrt: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series80.0ms (1.5%)

Memory

-25.2MiB live, 92.5MiB allocated

Counts

9 → 28

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
#s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(*.f64 x x)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/4 binary64) x)
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))

Outputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(- (log 2) (log x))
(- (+ (log 2) (* -1/4 (pow x 2))) (log x))
(* -1/4 (pow x 2))
(pow x 2)
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(* -1/4 x)
(+ (log 1/2) (log x))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))
(* (pow x 2) (- (* -1 (/ (+ (log 1/2) (* -1 (log (/ 1 x)))) (pow x 2))) 1/4))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))
(* (pow x 2) (- (* -1 (/ (+ (log -1/2) (* -1 (log (/ -1 x)))) (pow x 2))) 1/4))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(+ (log -1/2) (* -1 (log (/ -1 x))))

Calls

3 calls:

Time

Variable

Point

Expression

51.0ms

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (- (log 2) (log x))) (* (* x x) -1/4) (* x x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (neg (log (* x 1/2)))) (* -1/4 x) (neg (log (* x 1/2))) (log (* x 1/2)))

20.0ms

-inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (- (log 2) (log x))) (* (* x x) -1/4) (* x x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (neg (log (* x 1/2)))) (* -1/4 x) (neg (log (* x 1/2))) (log (* x 1/2)))

9.0ms

inf

((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (- (log 2) (log x))) (* (* x x) -1/4) (* x x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* (* -1/4 x) x) (neg (log (* x 1/2)))) (* -1/4 x) (neg (log (* x 1/2))) (log (* x 1/2)))

simplify138.0ms (2.5%)

Memory

39.5MiB live, 110.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	351
1	295	339
2	737	333
3	2131	333
4	6079	314
0	8215	303

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(- (log 2) (log x))
(- (+ (log 2) (* -1/4 (pow x 2))) (log x))
(* -1/4 (pow x 2))
(pow x 2)
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(* -1/4 x)
(+ (log 1/2) (log x))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))
(* (pow x 2) (- (* -1 (/ (+ (log 1/2) (* -1 (log (/ 1 x)))) (pow x 2))) 1/4))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))
(* (pow x 2) (- (* -1 (/ (+ (log -1/2) (* -1 (log (/ -1 x)))) (pow x 2))) 1/4))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(+ (log -1/2) (* -1 (log (/ -1 x))))

Outputs
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -5/96 binary64) (.f64 x x) #s(literal -3/32 binary64)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(- (log 2) (log x))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1/4 (pow x 2))) (log x))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(pow x 2)
(*.f64 x x)
(* -1 (+ (log 1/2) (log x)))
(neg.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(neg.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (log.f64 x))))
(* -1/4 x)
(*.f64 #s(literal -1/4 binary64) x)
(+ (log 1/2) (log x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (-.f64 (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (* -1 (/ (log (/ 1 x)) (pow x 2))))))
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (log.f64 x))))
(* (pow x 2) (- (* -1 (/ (+ (log 1/2) (* -1 (log (/ 1 x)))) (pow x 2))) 1/4))
(neg.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (log.f64 x))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(neg.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) x))
(* (pow x 2) (- (/ (log 2) (pow x 2)) (+ 1/4 (+ (* -1 (/ (log (/ -1 x)) (pow x 2))) (/ (log -1) (pow x 2))))))
(fma.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) x) (/.f64 (log.f64 (neg.f64 x)) (.f64 x x)))) x) x (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (- (* -1 (/ (+ (log -1/2) (* -1 (log (/ -1 x)))) (pow x 2))) 1/4))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64)))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1/2 binary64)))

rewrite253.0ms (4.6%)

Memory

-7.1MiB live, 189.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	102
0	36	100
1	142	95
2	1242	91
0	8629	91

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

9 → 198

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
#s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(*.f64 x x)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/4 binary64) x)
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 #s(literal -1/4 binary64) x) x)))
#s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 #s(literal -1/4 binary64) x) x))
(.f64 (.f64 #s(literal -1/4 binary64) x) x)
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(.f64 #s(literal -1/4 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -1/4 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(/.f64 (-.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) x) #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 0 binary64)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal -1/4 binary64) x) #s(literal 0 binary64))
(-.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) x) #s(literal 0 binary64))
(+.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) x) #s(literal 0 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (log.f64 (/.f64 #s(literal 2 binary64) x))))
(.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) (log.f64 x))))
(.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 #s(literal -1/4 binary64) x) x))))
(.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (log.f64 #s(literal 2 binary64))) (log.f64 x))))))
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(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))))
(/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (neg.f64 (pow.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 x)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) x))

eval144.0ms (2.6%)

Memory: -17.1MiB live, 75.0MiB allocated
Compiler: Compiled 8 613 to 944 computations (89% saved)

prune19.0ms (0.3%)

Memory

-12.8MiB live, 23.4MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	224	5	229

Accuracy

100.0%

Counts

229 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
✓	99.7%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
✓	99.3%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
✓	99.7%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
✓	2.7%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))

Compiler

Compiled 263 to 134 computations (49% saved)

regimes10.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))

Outputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))

Calls

3 calls:

3.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

3.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
100.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))

Calls

3 calls:

2.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

2.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

2.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.7%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes10.0ms (0.2%)

Memory

-27.5MiB live, 10.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))

Calls

3 calls:

5.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

2.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

2.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.7%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))

(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))

(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))

Calls

3 calls:

2.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

2.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.3%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Accuracy

Total -1.7b remaining (-2.8%)

Threshold costs -1.7b (-2.8%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))

(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))

Calls

3 calls:

1.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

1.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

1.0ms

Results

Accuracy	Segments	Branch
2.7%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
2.7%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
2.7%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify85.0ms (1.5%)

Memory

-24.1MiB live, 61.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	105
1	64	105
2	84	105
3	125	105
4	195	105
5	346	105
6	736	105
7	3374	105

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))

Outputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(approx (+ (* (* -1/4 x) x) (- (log 2) (log x))) (.f64 (.f64 x x) #s(literal -1/4 binary64))))

soundness812.0ms (14.7%)

Memory

12.1MiB live, 326.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	729
1	409	704
2	1119	684
3	3237	671
0	8046	642
0	36	212
0	58	209
1	207	195
2	1585	195
0	8917	182
0	204	827
1	565	797
2	1590	762
3	4722	751
0	8255	715
0	9	45
0	16	45
1	69	45
2	624	41
3	7607	41
0	8365	41

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 197 to 108 computations (45.2% saved)

preprocess52.0ms (0.9%)

Memory: 20.0MiB live, 55.8MiB allocated
Compiler: Compiled 236 to 108 computations (54.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.0s (19%)

explain130.0ms (2.3%)

preprocess462.0ms (8.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify291.0ms (5.3%)

localize123.0ms (2.2%)

series6.0ms (0.1%)

simplify144.0ms (2.6%)

rewrite158.0ms (2.9%)

eval54.0ms (1%)

prune7.0ms (0.1%)

simplify169.0ms (3%)

localize116.0ms (2.1%)

series123.0ms (2.2%)

simplify223.0ms (4%)

rewrite236.0ms (4.3%)

eval221.0ms (4%)

prune9.0ms (0.2%)

simplify303.0ms (5.5%)

localize84.0ms (1.5%)

series80.0ms (1.5%)

simplify138.0ms (2.5%)

rewrite253.0ms (4.6%)

eval144.0ms (2.6%)

prune19.0ms (0.3%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify85.0ms (1.5%)

soundness812.0ms (14.7%)

preprocess52.0ms (0.9%)

end0.0ms (0%)

Profiling